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Finding the Third Proportional to 150,660 and 240,813

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Solution

The third proportional to 150,660 and 240,813 is: 384,912.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,660 : 240,813 = 240,813 : x
  2. Step 2: Convert to fraction form
    150,660/240,813 = 240,813/x
  3. Step 3: Cross multiply
    150,660x = 240,813 × 240,813
  4. Step 4: Simplify right side
    150,660x = 57,990,900,969
  5. Step 5: Solve for x
    x = 57,990,900,969/150,660
  6. Step 6: Final answer
    x = 384,912.39

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.